write the following numbers in p by q form 2.015151515...​

The x component of the displacement is incorrect and needs to be recalculated. The y component of the displacement can be determined using trigonometry.

To find the x component of the displacement, we need to determine the horizontal distance covered in the given direction. The angle of 153 degrees above the positive x-axis suggests that the direction deviates from the positive x-axis in a counterclockwise direction. Since the angle is measured from the positive x-axis, it falls in the second quadrant.

To calculate the x component, we can use trigonometry. The x component is given by the formula:

x = displacement * cos(angle)

In this case, the displacement is 75 m, and the angle is 153 degrees. Converting the angle to radians (since trigonometric functions in most programming languages use radians), we have:

x = 75 m * cos(153°) = -71.61 m (rounded to two significant figures)

Therefore, the x component of the displacement is -71.61 m.

For Part B, to determine the y component of the displacement, we again use trigonometry. The y component is given by the formula:

y = displacement * sin(angle)

Using the same values as before, we have:

y = 75 m * sin(153°) = 43.50 m (rounded to two significant figures)

Therefore, the y component of the displacement is 43.50 m.

Learn more about trigonometry here:

https://brainly.com/question/11016599

#SPJ11

Answer:

1.6 cups of sugar

Step-by-step explanation:

0.4 cups of sugar for 1 batch of cookies

And to find out the amount of sugar we need

We multiply 0.4 for the amount of batches

In this case it will be

0.4 x 4= 1.6 cups of sugar

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

Read more on cylinder here: brainly.com/question/14060443

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

Read more on Z score here: brainly.com/question/25638875

#SPJ1

Answer:

The answer would be 10 cups

Step-by-step explanation:

Answer:

Step-by-step explanation:

Poste uma foto do problema plss

Answer:

8y(-6az-3x+5mz)

Or 8y

or (-6az-3x+5mz)

If you have answer options please let me know

Step-by-step explanation:

first find the greatest common factor for each coefficient

8 is the biggest one

Now we look for commonly variables and the only one they have in common is y so

8y(-6az-3x+5mz)

Hopes this helps please mark brainliest

The value of the mean is 155.96mm

Calculation of the mean is:

n=5

Mean= \(\frac{\sum fx}{n}\)

Mean=\(\frac{156.9+153.2+153.6+157.5+158.6}{5}\)

Mean=779.8/5

Mean=155.96mm

The question was incomplete, the complete question is given below:

Auto pistons at Wenming​ Chung's plant in shanghai are produced in a forging​ process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each​ day, the mean and the range of this diameter have been as​ follows:

Day Mean X(mm) Range R (mm)

1   156.9          4.2

2   153.2         4.6

3   153.6         4.1

4   157.5         4.8

5   158.6         4.7

What is the value of mean in mm, (round your response to 2 decimal places)

Learn more about sample mean here:

https://brainly.com/question/21193324

#SPJ4

A differential equation's existence and uniqueness in mathematics refers to the existence of a single, clearly defined solution that meets a certain set of requirements.

A differential equation is a type of mathematical equation that links a number of known functions or variables to an unknown function and its derivatives. If a differential equation has existence and uniqueness of solution, it means that there is only one function that satisfies the equation and corresponds to the given conditions for a given set of beginning circumstances.

The terms and structure of the differential equation, such as linearity and initial conditions, decide whether or not a solution exists. The Piccard-Lipschitz theorem, which asserts that if a function and its derivatives are locally Lipschitz continuous, then the solution to the differential equation is unique in a neighbourhood of the initial conditions, frequently ensures the uniqueness of the solution.

In conclusion, the existence and uniqueness of a solution in differential equations is a crucial idea in mathematical modelling and aids in making sure that the solutions to a given problem are clear-cut and consistent with the underlying conditions.

Learn more about differential equation here:

brainly.com/question/14620493

#SPJ4

When the object's acceleration is 14 m/s and the total force is 126 N, the object's mass is approximately 9 kg.

To rewrite the formula F = ma in terms of mass (m), we can isolate the mass by dividing both sides of the equation by acceleration (a):

F = ma

Dividing both sides by a:

F/a = m

Therefore, the formula in terms of mass (m) is m = F/a.

Now, to find the object's mass when its acceleration is 14 m/s and the total force is 126 N, we can substitute the given values into the formula:

m = F/a

m = 126 N / 14 m/s

m ≈ 9 kg

Therefore, when the object's acceleration is 14 m/s and the total force is 126 N, the object's mass is approximately 9 kg.

To learn more about acceleration

https://brainly.com/question/16850867

#SPJ11

Answer:

-3.75

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

divide 2 by 5 get 0

multiply the quotient (0) by the divisor 5

subtract 0 from 2

Add a decimal point to the solution Bring down the next number of the divided

divide 25 by 5 to get 5

Multiply the quotient digit (5) by the divisor 5

subtract 25 from 25

the solution for long of 2.5/5 is 0.5

The simplified value of 2.5/5 is 1/2

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Examples of expression includes; 5x +2 , 6y + 3 , 5/2 e.t.c

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible.

Simplifying 2.5/5

multiply all by 10

= 25/50

divide through by 5

5/10 = 1/2

Therefore 2.5/5 is thesame as 1/2

learn more about expression from

https://brainly.com/question/1859113

#SPJ6

Answer:

Y=3x+12 (its the first option)

Step-by-step explanation:

I did the assignment.

The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Given :

The line passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

The following steps can be used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7):

Step 1 - The one-point form of a line is used in order to determine the equation of a line that passes through the point (-5, -3) and is parallel to the line (y - 3x = -7).

Step 2 - The one-point form is given below:

\((y-y_1) = m (x-x_1)\)

Step 3 - According to the given data, the line is parallel to the line (y = 3x - 7). So, the slope of the line is 3.

Step 4 - Now, substitute the values of slope and the point in the above expression.

\((y+3) = 3 (x+5)\)

y = 3x + 2

For more information, refer to the link given below:

https://brainly.com/question/19300779

In the first part, we are asked to find (x)' using logarithmic differentiation.

To find (x)', we take the natural logarithm of both sides of the given expression: ln(y) = ln(x).

Next, we differentiate both sides implicitly with respect to x. The left side can be differentiated using the chain rule: (1/y) * y' = 1/x.

Simplifying, we get y' = (y/x). Since y = x, we substitute this value back in: y' = (x/x) = 1.

Therefore, (x)' = 1.

In the second part, we are asked to find ((-2)-(3x+1) ((2-2)/(x+1))' using logarithmic differentiation.

Again, we take the natural logarithm of both sides of the given expression: ln(y) = ln((-2)-(3x+1) ((2-2)/(x+1))).

Next, we differentiate both sides implicitly with respect to x. The left side can be differentiated using the chain rule: (1/y) * y' = (1/((-2)-(3x+1) ((2-2)/(x+1)))) * ((-2)-(3x+1) ((2-2)/(x+1)))'.

Simplifying, we get y' = ((-2)-(3x+1) ((2-2)/(x+1)))' / ((-2)-(3x+1) ((2-2)/(x+1))).

Therefore, ((-2)-(3x+1) ((2-2)/(x+1))' = y' * ((-2)-(3x+1) ((2-2)/(x+1))).

Note that further simplification or evaluation of the derivative depends on the specific form of the expression (-2)-(3x+1) ((2-2)/(x+1)), which is not provided in the question.

Learn more about chain rule here :

https://brainly.com/question/31585086

#SPJ11

Answer:

65$

Step-by-step explanation:

the total cost=520$

and eight family members

520$÷8 family members=65$ per member

Answer:

30 ft

Step-by-step explanation:

h/(40 + 8) = 5/8

h = 30

The frequency table provides a clear overview of the distribution of honey consumption by Martha, highlighting the most common and less common amounts consumed throughout the week.

Based on the given data points representing the number of jars of honey Martha the Bear consumed each day this week, we can create a frequency table to summarize the information.

The frequency table will list the distinct values (number of jars of honey) and their corresponding frequencies (number of days).

Number of jars of honey   Number of days

       2                                                 4

       3                                                 4

       4                                                 6

       5                                                 3

      44                                                 2

In the frequency table, the number 2 appears 4 times, indicating that Martha consumed 2 jars of honey on 4 days. The number 3 also appears 4 times, indicating 3 jars of honey were consumed on 4 days. The number 4 appears 6 times, indicating 4 jars of honey were consumed on 6 days.

Similarly, the number 5 appears 3 times, indicating 5 jars of honey were consumed on 3 days. Finally, the number 44 appears 2 times, indicating 44 jars of honey were consumed on 2 days.

For more such questions on frequency table

https://brainly.com/question/26096302

#SPJ8

Answer:

\(2 \sqrt{14} \)

Answer:

Correctly

Step-by-step explanation:

The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.

In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:

((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)

Now, we can combine the two terms in the equation by finding a common denominator:

(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)

Next, we can combine the terms in the numerator by factoring out (y-b):

[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)

Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:

(y-b)(y-b+1)/(y-b+1) = y-b

Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1)  after being simplified, is equivalent to the polynomial y-b.

Learn more about polynomials :

https://brainly.com/question/30127172

#SPJ4

Answer:

Raspberry

Step-by-step explanation:

Strawberry label = raspberry

Raspberry label =strawberry

Strawberry and Raspberry label = blackcurrant

The scale factor of the dilation is equal to: B. 5.

In Geometry, a scale factor simply refers to the ratio of two corresponding side lengths or diameter in two similar geometric objects, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object based on a specific scale factor with respect to the origin is given by this mathematical expression:

(x, y)      →    (SFx, SFy)

Where:

Scale factor = 15/3 = -25/-5

Scale factor = 5.

Read more on scale factor here: brainly.com/question/7482670

#SPJ1

Answer:

B) 1/2 barrel/hour

Step-by-step explanation:

1/3 divided by 2/3 = 1/3 * 3/2 = (1*3)/(3*2) = 3/6 = 1/2, therefore the correct unit rate is B) 1/2 barrel/hour

Answer:

1/2

Step-by-step explanation:

1/3 x 3/2 = 1/2

i. Paola's taxable income is $40,675.

From the table, as she is married but filing taxes jointly, her withheld tax should be,

But she had $4,654 withheld.

Therefore, Paola would be getting a refund of $4654 - $4486 = $168

ii. Pedro's taxable income however is $38,802

From the table, since he is married and files taxes jointly, his withheld tax should be,

But he had $4345 withheld.

Therefore, Pedro would be getting a refund of $4345 - $3544 = $801

Answer:

Both Paola and Pedro would get refunds.

Paola would get $168 while Pedro would get $801

The maximum number of drinks Liam can buy is 4 without over exceeding his price.

Unitary method:

The unit method is a method of obtaining a single-unit value from a multiple-unit value and obtaining a multiple-unit value from a single-unit value. This is the method used for most calculations in mathematics. This method is useful when solving problems involving proportions and proportions, algebra, geometry, and more.

The unit method allows us to find missing values. For example, if a pack of juice costs $5. Then you can easily see that the cost is 5 packages, or $25.

According to the Question:

If Liam has $30 to spend and he must buy at least 9 drinks and tacos altogether, it means that,

$3.50 for 5 tacos

⇒ 3.50 x 5 =  $17.50

Now,

9 - 5 tacos = 4 drinks

Cost of 4 drinks x $2 = $8

The total price :

$17.50 + $8 = $25.50 out of $30 price limit

Thus, the number of drinks that she could buy is 4.

Learn more about Maximum Number:

https://brainly.com/question/1563742

#SPJ4

Answer:

OA Taking Measurements

Answer:

See attached image.

Step-by-step explanation:

Answer:

A 0.08

Step-by-step explanation:

The probability of event B, P(B), is 0.1667.

To find the probability of event B, we can use the formula for the probability of the intersection of two independent events:

P(A and B) = P(A) * P(B)

We are given that P(A and B) = 0.10 and P(A) = 0.6.

Let's substitute these values into the formula:

0.10 = 0.6 * P(B)

To solve for P(B), we divide both sides of the equation by 0.6:

0.10 / 0.6 = P(B)

Simplifying the division:

P(B) ≈ 0.1667

Therefore, the probability of event B, P(B), is approximately 0.1667.

know more about probability here:

https://brainly.com/question/13604758

#SPJ8

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1